the area ofthree adjacent facesofva cuboid are x,y,andz.prove thatv=xyz,where v is the volume
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Verify your question please because i think it should be √(xyz)
In that case,
Let ,x = l × b
y = b × h
z = l × h
Therefore
LHS= √(xyz) = √[(l×b)×(b×h)×(l×h)]
=√( l^2 × b^2 × h^2)
= l×b×h
= v ( volume of a cuboid) = RHS (proved)
In that case,
Let ,x = l × b
y = b × h
z = l × h
Therefore
LHS= √(xyz) = √[(l×b)×(b×h)×(l×h)]
=√( l^2 × b^2 × h^2)
= l×b×h
= v ( volume of a cuboid) = RHS (proved)
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